Finite Group Databasebeta

← #7987587

Subgroups — #7987587

Order 512.

4855 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59750C212yesmaximal, complemented
2#59700C212yesmaximal, complemented
3#59665C211yesmaximal, characteristic, complemented
4#59056C211yesmaximal, characteristic, complemented
5#59050C211yesmaximal, characteristic, complemented
6#51960C214yesmaximal, complemented
7#51830C214yesmaximal, complemented
8#45738C214yesmaximal, complemented
9#45399C212yesmaximal, complemented
10#45239C212yesmaximal, complemented
11#45072C212yesmaximal, complemented
12#45064C212yesmaximal, complemented
13#42783C212yesmaximal, complemented
14#42778C212yesmaximal, complemented
15#42736C212yesmaximal, complemented
16#42730C212yesmaximal, complemented
17#39387C211yesmaximal, characteristic, complemented
18#39352C211yesmaximal, characteristic, complemented
19#39202C211yesmaximal, characteristic, complemented
20#39148C211yesmaximal, characteristic, complemented
21#38260C212yesmaximal, complemented
22#38212C212yesmaximal, complemented
23#38061C214yesmaximal, complemented
24#36449C211yesmaximal, characteristic, complemented
25#36272C211yesmaximal, characteristic, complemented
26#36174C212yesmaximal, complemented
27#36173C212yesmaximal, complemented
28#36150C211yesmaximal, characteristic, complemented
29#35215C212yesmaximal, complemented
30#35169C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34797C211yesmaximal, characteristic, complemented
33#34485C211yesmaximal, characteristic, complemented
34#34394C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#552C2212yes—
38C2×#542C2212yes—
39C2×#540C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42#2863C2212yes—
43#2859C2212yes—
44#2858C2211yescharacteristic
45#2857C2211yescharacteristic
46#2856C2211yescharacteristic
47#2854C2214yes—
48#2852C2214yes—
49#2850C2214yes—
50#2829C2214yes—
51#2828C2214yes—
52#2803C2214yes—
53#2800C2214yes—
54#2799C2214yes—
55#2797C2214yes—
56#2796C2214yes—
57#2795C2214yes—
58#2773C2214yes—
59#2772C2214yes—
60#2756C2214yes—
61#2753C2214yes—
62#2753C2214yes—
63#2752C2214yes—
64#2752C2214yes—
65#2749C2214yes—
66#2749C2214yes—
67#2733C2214yes—
68#2730C2214yes—
69#2730C2214yes—
70#2723C2214yes—
71#2721C2214yes—
72#2714C2214yes—
73#2711C2214yes—
74#2710C2214yes—
75#2709C2214yes—
76#2707C2214yes—
77#2706C2214yes—
78#2706C2214yes—
79#2705C2214yes—
80#2705C2214yes—
81#2694C2214yes—
82#2688C2214yes—
83#2673C2214yes—
84#2671C2214yes—
85#2663C2214yes—
86#2661C2214yes—
87#2649C2214yes—
88#2648C2214yes—
89#2644C2214yes—
90#2644C2212yes—
91#2641C2214yes—
92#2624C2212yes—
93#2624C2212yes—
94#2620C2212yes—
95#2611C2214yes—
96#2602C2214yes—
97#2595C2214yes—
98#2584C2212yes—
99#2578C2214yes—
100#2578C2214yes—
101#2571C2211yescharacteristic
102#2559C2214yes—
103#2559C2214yes—
104#2557C2214yes—
105#2555C2214yes—
106#2553C2214yes—
107#2553C2214yes—
108#2552C2211yescharacteristic
109#2550C2212yes—
110#2548C2212yes—
111#2548C2212yes—
112#2547C2211yescharacteristic
113#2544C2212yes—
114#2542C2211yescharacteristic
115#2541C2212yes—
116#2541C2212yes—
117#2541C2211yescharacteristic
118#2541C2211yescharacteristic
119#2540C2212yes—
120#2540C2212yes—
121#2538C2212yes—
122#2537C2212yes—
123#2535C2212yes—
124#2532C2212yes—
125#2531C2214yes—
126#2531C2212yes—
127#2530C2214yes—
128#2530C2214yes—
129#2529C2212yes—
130#2526C2214yes—
131#2526C2214yes—
132#2526C2212yes—
133#2518C2214yes—
134#2518C2214yes—
135#2518C2214yes—
136#2518C2212yes—
137#2518C2212yes—
138#2517C2214yes—
139#2516C2214yes—
140#2515C2214yes—
141#2513C2211yescharacteristic
142#2512C2212yes—
143#2512C2214yes—
144#2512C2211yescharacteristic
145#2509C2212yes—
146#2509C2212yes—
147#2508C2211yescharacteristic
148#2507C2211yescharacteristic
149#2506C2212yes—
150#2506C2212yes—
151#2504C2212yes—
152#2501C2212yes—
153#2500C2211yescharacteristic
154#2500C2211yescharacteristic
155#2497C2211yescharacteristic
156#2496C2212yes—
157#2495C2211yescharacteristic
158#2495C2212yes—
159#2491C2211yescharacteristic
160#2490C2214yes—
161#2490C2212yes—
162#2490C2212yes—
163#2490C2212yes—
164#2490C2211yescharacteristic
165#2489C2212yes—
166#2489C2214yes—
167#2485C2211yescharacteristic
168#2485C2212yes—
169#2485C2211yescharacteristic
170#2476C2214yes—
171#2474C2214yes—
172#2471C2214yes—
173#2470C2214yes—
174#2470C2214yes—
175#2467C2212yes—
176#2459C2212yes—
177#2454C2212yes—
178#2454C2212yes—
179#2453C2214yes—
180#2448C2212yes—
181#2448C2212yes—
182#2448C2214yes—
183#2447C2212yes—
184#2445C2214yes—
185#2445C2212yes—
186#2445C2212yes—
187#2441C2211yescharacteristic
188#2441C2212yes—
189#2441C2214yes—
190#2439C2211yescharacteristic
191#2431C2214yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2427C2212yes—
196#2427C2212yes—
197#2427C2212yes—
198#2426C2212yes—
199#2426C2212yes—
200#2426C2212yes—
201#2426C2212yes—
202#2422C2212yes—
203#2422C2212yes—
204#2421C2212yes—
205#2420C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2416C2212yes—
209#2416C2212yes—
210#2415C2212yes—
211#2415C2212yes—
212#2414C2211yescharacteristic
213#2414C2214yes—
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2414C2211yescharacteristic
219#2407C2212yes—
220#2398C2212yes—
221#2395C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2379C2214yes—
225#2378C2214yes—
226#2372C2214yes—
227#2370C2212yes—
228#2369C2211yescharacteristic
229#2369C2211yescharacteristic
230#2369C2211yescharacteristic
231#2367C2212yes—
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2363C2212yes—
240#2363C2214yes—
241#2363C2212yes—
242#2363C2212yes—
243#2363C2212yes—
244#2362C2212yes—
245#2361C2212yes—
246#2361C2212yes—
247#2360C2212yes—
248#2356C2212yes—
249#2355C2212yes—
250#2354C2212yes—
251#2352C2212yes—
252#2351C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255#2347C2212yes—
256#2346C2212yes—
257#2346C2212yes—
258#2346C2212yes—
259#2345C2212yes—
260#2341C2212yes—
261#2330C2212yes—
262#2330C2212yes—
263#2328C2212yes—
264#2326C2214yes—
265#2324C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2320C2214yes—
271#2317C2212yes—
272#2317C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#126C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2298C2212yes—
284#2297C2214yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2285C2211yescharacteristic
292#2283C2214yes—
293#2283C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#555—28no—
301#552—48no—
302#542—48no—
303#540—48no—
304#533—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2314yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2314yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2314yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#399C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2312yes—
489#393C2312yes—
490#392C2312yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2314yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2314yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#383C2312yes—
714#383C2312yes—
715#383C2314yes—
716#383C2314yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2314yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2312yes—
728#381C2312yes—
729#381C2314yes—
730#381C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2314yes—
749#380C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808#376C2314yes—
809#376C2314yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—82no—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8#4118yes—
855#127—24no—
856#127—44no—
857#127—44no—
858#127—84no—
859#126—44no—
860#126—48no—
861#126—48no—
862#125—28no—
863#125—28no—
864#125—42no—
865#125—48no—
866#125—84no—
867#124—28no—
868#124—216no—
869#124—44no—
870#124—44no—
871#124—44no—
872#124—44no—
873#124—48no—
874#123—48no—
875#123—48no—
876#123—48no—
877#123—48no—
878#123—84no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885#121—28no—
886#121—28no—
887#121—28no—
888#121—28no—
889#121—24no—
890#121—48no—
891#121—48no—
892#121—44no—
893#121—42no—
894#121—44no—
895#121—42no—
896#121—42no—
897#121—44no—
898#121—44no—
899#121—48no—
900#121—44no—
901#121—44no—
902#121—84no—
903#121—82no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—82no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—84no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—24no—
932#117—44no—
933#117—44no—
934#117—44no—
935#117—48no—
936#117—42no—
937#117—42no—
938#117—42no—
939#117—84no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C42—24no—
1074C2×C42—24no—
1075C2×C42—48no—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175C24C2511yescharacteristic
1176C24C2512yes—
1177C24C2512yes—
1178C24C2514yes—
1179C24C2511yescharacteristic
1180#41—816no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8C2×#4118yes—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—28no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—28no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—41no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—41no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—22no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—41no—
1347C4⋊C4—42no—
1348C4⋊C4—41no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4C2×#4118yes—
1370C4⋊C4C2×#4118yes—
1371C4⋊C4H(5,𝔽2)14yes—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—44no—
1402C22⋊C4—41no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—41no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—28no—
1448C42—28no—
1449C42—24no—
1450C42—24no—
1451C42—22no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—22no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—44no—
1463C42—44no—
1464C42—42no—
1465C42—42no—
1466C42—42no—
1467C42—44no—
1468C42—42no—
1469C42—42no—
1470C42—41no—
1471C42—44no—
1472C42—44no—
1473C42—41no—
1474C42—44no—
1475C42C2×#4114yes—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—24no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—24no—
1484C23—22no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—24no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—22no—
1497C23—24no—
1498C23—22no—
1499C23—21no—
1500C23—22no—
1501C23—24no—
1502C23—21no—
1503C23—21no—
1504C23—22no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23C2611yescharacteristic
1512Q8—48no—
1513Q8—48no—
1514Q8—84no—
1515D4—44no—
1516D4—44no—
1517D4—48no—
1518D4—44no—
1519D4—48no—
1520D4—88no—
1521D4—84no—
1522D4—84no—
1523D4—88no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—164no—
1528D4—164no—
1529D4—164no—
1530D4—164no—
1531D4—164no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—416no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—82no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—88no—
1624C2×C4—164no—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4118yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4112yes—
1629C2×C4C2×H(5,𝔽2)14yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4#58512yes—
1632C2×C4#58512yes—
1633C2×C4#58512yes—
1634C2×C4#58512yes—
1635C22—41no—
1636C22—44no—
1637C22—41no—
1638C22—42no—
1639C22—42no—
1640C22—44no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—44no—
1646C22—41no—
1647C22—42no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—42no—
1654C22—44no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—41no—
1664C22—44no—
1665C22—41no—
1666C22—41no—
1667C22—42no—
1668C22—42no—
1669C22—44no—
1670C22C23×#4111yescharacteristic
1671C22C22×H(5,𝔽2)11yescharacteristic
1672C22C2×#58511yescharacteristic
1673C22C2×#58511yescharacteristic
1674C22C2×#58511yescharacteristic
1675C22C2×#58511yescharacteristic
1676C22H(7,𝔽2)11yescharacteristic
1677C4—22no—
1678C4—22no—
1679C4—28no—
1680C4—24no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—41no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—41no—
1689C4—41no—
1690C4—42no—
1691C4—41no—
1692C4—44no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—44no—
1699C4—42no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4#351714yes—
1706C4#352414yes—
1707C2—81no—
1708C2—84no—
1709C2—81no—
1710C2—82no—
1711C2—82no—
1712C2#6276211yescharacteristic
1713C2C2×#351711yescharacteristic
1714C2C2×#352411yescharacteristic
1715C2#6292311yescharacteristic
1716C2#6293711yescharacteristic
1717C2#6299011yescharacteristic
1718C2#6302411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59750C2semidirect
2. #59700C2semidirect
3. #59665C2semidirect
4. #59056C2semidirect
5. #59050C2semidirect
6. #51960C2semidirect
7. #51830C2semidirect
8. #45738C2semidirect
9. #45399C2semidirect
10. #45239C2semidirect
11. #45072C2semidirect
12. #45064C2semidirect
13. #42783C2semidirect
14. #42778C2semidirect
15. #42736C2semidirect
16. #42730C2semidirect
17. #39387C2semidirect
18. #39352C2semidirect
19. #39202C2semidirect
20. #39148C2semidirect
21. #38260C2semidirect
22. #38212C2semidirect
23. #38061C2semidirect
24. #36449C2semidirect
25. #36272C2semidirect
26. #36174C2semidirect
27. #36173C2semidirect
28. #36150C2semidirect
29. #35215C2semidirect
30. #35169C2semidirect
31. #34800C2semidirect
32. #34797C2semidirect
33. #34485C2semidirect
34. #34394C2semidirect
35. #34155C2semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#597502
#597002
#596652
#590562
#590502
#519602
#518302
#457382
#453992
#452392
#450722
#450642
#427832
#427782
#427362
#427302
#393872
#393522
#392022
#391482
#382602
#382122
#380612
#364492
#362722
#361742
#361732
#361502
#352152
#351692
#348002
#347972
#344852
#343942
#341552